Chaos of the logistic equation with piecewise constant argument
Chaotic Dynamics
2010-06-25 v1
Abstract
We consider the logistic equation with different types of the piecewise constant argument. It is proved that the equation generates chaos and intermittency. Li-Yorke chaos is obtained as well as the chaos through period-doubling route. Basic plots are presented to show the complexity of the behavior.
Keywords
Cite
@article{arxiv.1006.4753,
title = {Chaos of the logistic equation with piecewise constant argument},
author = {Marat Akhmet and Derya Altintan and Tanil Ergenc},
journal= {arXiv preprint arXiv:1006.4753},
year = {2010}
}
Comments
5 figures